10133022133091 has 96 divisors (see below), whose sum is σ = 12310035333120. Its totient is φ = 8282720160000.

The previous prime is 10133022133067. The next prime is 10133022133139. The reversal of 10133022133091 is 19033122033101.

It is a happy number.

It is not a de Polignac number, because 10133022133091 - 2¹⁸ = 10133021870947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133022133001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5193757166 + ... + 5193759116.

It is an arithmetic number, because the mean of its divisors is an integer number (128229534720).

Almost surely, 2^{10133022133091} is an apocalyptic number.

10133022133091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133022133091 is a deficient number, since it is larger than the sum of its proper divisors (2177013200029).

10133022133091 is a wasteful number, since it uses less digits than its factorization.

10133022133091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

Adding to 10133022133091 its reverse (19033122033101), we get a palindrome (29166144166192).

The spelling of 10133022133091 in words is "ten trillion, one hundred thirty-three billion, twenty-two million, one hundred thirty-three thousand, ninety-one".